The Collaborative International Dictionary of English v.0.48:
Credibleness \Cred"i*ble*ness\, n. The quality or state of being credible; worthiness of belief; credibility. [R.] --Boyle. [1913 Webster]WordNet (r) 3.0 (2006):
credibleness n 1: the quality of being believable or trustworthy [syn: credibility, credibleness, believability] [ant: incredibility, incredibleness]